Two-level control over quantum state creation via entangled equal-probability state
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913689324486656 |
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| author | Doronin, S. I. Fel'dman, E. B. Zenchuk, A. I. |
| author_facet | Doronin, S. I. Fel'dman, E. B. Zenchuk, A. I. |
| contents | We propose the scheme realizing the two-level control over the unitary operators $U_k$ creating the required quantum state of the system $S$. These operators are controlled by the superposition state of the auxiliary subsystem $R$ which is governed by two control centers. The
first-level control center (main control) creates the equal-probability pure state of $R$ with certain distribution of phase factors that, in turn, govern the power of the second-level control center $C$ that applies the special $V$-operators to the same subsystem $R$ changing its state and thus controlling the applicability of $U_k$. In addition, the above phases are responsible for the entanglement in the subsystem $R$. We find the direct relation between this entanglement and the number of operators $U_k$ that can be controlled by $C$. The simple example of a two-level control system governing the creation of entangled state of the two-qubit system $S$ is presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09124 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-level control over quantum state creation via entangled equal-probability state Doronin, S. I. Fel'dman, E. B. Zenchuk, A. I. Quantum Physics We propose the scheme realizing the two-level control over the unitary operators $U_k$ creating the required quantum state of the system $S$. These operators are controlled by the superposition state of the auxiliary subsystem $R$ which is governed by two control centers. The first-level control center (main control) creates the equal-probability pure state of $R$ with certain distribution of phase factors that, in turn, govern the power of the second-level control center $C$ that applies the special $V$-operators to the same subsystem $R$ changing its state and thus controlling the applicability of $U_k$. In addition, the above phases are responsible for the entanglement in the subsystem $R$. We find the direct relation between this entanglement and the number of operators $U_k$ that can be controlled by $C$. The simple example of a two-level control system governing the creation of entangled state of the two-qubit system $S$ is presented. |
| title | Two-level control over quantum state creation via entangled equal-probability state |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2502.09124 |